42285680640 has 480 divisors, whose sum is σ = 173240907840. Its totient is φ = 9663971328.

The previous prime is 42285680581. The next prime is 42285680659. The reversal of 42285680640 is 4608658224.

42285680640 is a `hidden beast` number, since 4 + 2 + 28 + 568 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5802439 + ... + 5809721.

It is an arithmetic number, because the mean of its divisors is an integer number (360918558).

Almost surely, 2^42285680640 is an apocalyptic number.

42285680640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42285680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86620453920).

42285680640 is an abundant number, since it is smaller than the sum of its proper divisors (130955227200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42285680640 is an equidigital number, since it uses as much as digits as its factorization.

42285680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7329 (or 7300 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 42285680640 in words is "forty-two billion, two hundred eighty-five million, six hundred eighty thousand, six hundred forty".